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394936080 = 243572114371
BaseRepresentation
bin10111100010100…
…011111100010000
31000112010211110020
4113202203330100
51302100423310
6103104503440
712533621100
oct2742437420
91015124406
10394936080
11192a27360
12b031ab80
1363a8a6b6
143a647200
1524a13170
hex178a3f10

394936080 has 480 divisors, whose sum is σ = 1612182528. Its totient is φ = 79027200.

The previous prime is 394936079. The next prime is 394936097. The reversal of 394936080 is 80639493.

394936080 = T399 + T400 + ... + T1344.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5562445 + ... + 5562515.

Almost surely, 2394936080 is an apocalyptic number.

394936080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394936080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806091264).

394936080 is an abundant number, since it is smaller than the sum of its proper divisors (1217246448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

394936080 is a wasteful number, since it uses less digits than its factorization.

394936080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 394936080 is about 19872.9987671715. The cubic root of 394936080 is about 733.6838122684.

The spelling of 394936080 in words is "three hundred ninety-four million, nine hundred thirty-six thousand, eighty".